Correlations in homogeneous stratified shear turbulence
Based on the budget of kinetic energy and simple estimates to relate dissipation and temperature or concentration fluctuations to shear, stratification, and the vertical velocity fluctuations, a consistent set of equations is deduced to estimate vertical fluxes of momentum and heat or mass. The estimates are designed for strongly sheared, neutral and stratified flows at high Reynolds numbers under approximately homogeneous conditions. The set is closed by using basically two empirical coefficients together with the turbulent Prandtl number and the growth rate of kinetic energy as a function of the gradient Richardson number. The correlations are tested using data from previous laboratory experiments and numerical simulations.
KeywordsDirect Numerical Simulation Richardson Number Inviscid Flow Turbulent Prandtl Number Gradient Richardson Number
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